{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 13. Sequential Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "np.random.seed(1234)\n",
    "\n",
    "from prml.markov import CategoricalHMM, GaussianHMM, Kalman, Particle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "gaussian_hmm = GaussianHMM(\n",
    "    initial_proba=np.ones(3) / 3,\n",
    "    transition_proba=np.array([[0.9, 0.05, 0.05], [0.05, 0.9, 0.05], [0.05, 0.05, 0.9]]),\n",
    "    means=np.array([[0, 0], [2, 10], [10, 5]]),\n",
    "    covs=np.asarray([np.eye(2) for _ in range(3)]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq = gaussian_hmm.draw(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(seq[:, 0], seq[:, 1])\n",
    "plt.plot(seq[:, 0], seq[:, 1], \"k\", linewidth=0.1)\n",
    "for i, p in enumerate(seq):\n",
    "    plt.annotate(str(i), p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "posterior = gaussian_hmm.fit(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 10))\n",
    "plt.scatter(seq[:, 0], seq[:, 1], c=np.argmax(posterior, axis=-1))\n",
    "plt.plot(seq[:, 0], seq[:, 1], \"k\", linewidth=0.1)\n",
    "for i, p in enumerate(seq):\n",
    "    plt.annotate(str(i), p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "categorical_hmm = CategoricalHMM(\n",
    "    initial_proba=np.ones(2) / 2,\n",
    "    transition_proba=np.array([[0.95, 0.05], [0.05, 0.95]]),\n",
    "    means=np.array([[0.8, 0.2], [0.2, 0.8]]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "seq = categorical_hmm.draw(100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "posterior = categorical_hmm.forward_backward(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "hidden = categorical_hmm.viterbi(seq)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(posterior[:, 1])\n",
    "plt.plot(hidden)\n",
    "for i in range(0, len(seq)):\n",
    "    plt.annotate(str(seq[i]), (i, seq[i] / 2. + 0.2))\n",
    "plt.xlim(-1, len(seq))\n",
    "plt.ylim(-0.1, np.max(seq) + 0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 13.3 Linear Dynamical Systems"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "observed_sequence = np.concatenate(\n",
    "    (np.arange(50)[:, None] * 0.1 + np.random.normal(size=(50, 1)),\n",
    "     np.random.normal(loc=5., size=(50, 1)),\n",
    "     5 - 0.1 * np.arange(50)[:, None] + np.random.normal(size=(50, 1))), axis=0)\n",
    "plt.plot(observed_sequence)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "kalman = Kalman(\n",
    "    system=np.array([[1., 1.], [0., 1.]]),\n",
    "    cov_system=np.eye(2) * 0.001,\n",
    "    measure=np.array([[1., 0.]]),\n",
    "    cov_measure=np.eye(1) * 10,\n",
    "    mu0=np.zeros(2), P0=np.eye(2) * 100\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean, cov = kalman.filtering(observed_sequence)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = kalman.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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4O0QuWWvtKlIB11LcI9kErt+Zwxv9XibTy00Ct6+468ejnZ3zbBYR2OsJ7nMk5Obkxj6f7//jx/Afv/Xchp5LNIeySnpIMFi3Ix1QWCUpQ0VfQsNiycJc0QwpbjHD0HY5XjaRB4CaVVK1Uaq3SpIaXD/jJOh9E+0hl9KlZbFW8Y3gv/zMy+ByDt3PtW9qlQjFXRe4z8yLwN1ccSc3aJXMF03ZDhYAnr+4LFNSifZBiruHBPtwt6MAR1glKd2bF3nKvyQWOdziPsHLdgvF7QXkUlWkA4Y3JwFqNNUpcqmaxz3tB7hmxTeCfFrHQMZANuG13r0YYXmUTBtF//MQzBPnnGNyvrnidlwO03YjNidbC9z3fP7H+P++f1z+XDRtnLpUpCu2NkOBu4eEPO41FPd80cR3npte9TFBxZ1JaDg563X+G4nwuAHUFHegfWt9OmBtfBkF7k6QS+rSypj2A3CzBlNRjOUSmIlQzpeWa8MPgop7oWTJzeYoJRwcogDUAncrBTgVy8HkfBkXFmvrKVW9rBdh2xDtgQJ3DwnaI2sp7i/9+CQ+8OXDuLAUnQkANHrcQmmNRnjcewbTGPDL4IUFslK1UbYcGcgBUtydJpfysnZcl2O6UEFKV5FLtm5JjeWSkVbJ7EoteAY9bpFGCEQr7uBVG1BrfdBKh0Ch/MUXQ7Bl8elLpabPI9YPBe4eYjmtb04+NbkIAPjJqeaDhcuBBlF9gZN/NOCZCgV14668vM3QFBiqgvmiCc4RbZWQ4u4IuaRXtbpctXHRL76J6sPdDC9wNyruYFAOZpWIwD2eT0YqbvHln9yAVXLRX0dRjsGrfWZOXVpZ8/lE67QcuBljKmPsScbYtzq5oO1EKHCvMnfSdTmenlwCsEbgrlPcgqFMLXDnUjpUheG2PQOh56YTqrycDVolGRpf1lGCjaZaKb6pZzSXwEyh2uAhz654VomqsFCBj/C3b9k7EKm4axOQ/DbAQnG3YJXUFLf3GsVAB0ORgki0h/Uo7o8CONaphWxHgvZIdRXFffLSCparNjSF4bHTawfupF6b0D6YMWBotbc5n9LxjY+8Er9w597QczOGJk/kVITHTYq7MwRbu7ZSfFPPWF8SpuNisW525exyFYwBuwZSYcU9V8JIXwJ7B9Pe0AY3HPBr+yTeZ0ZTFWgKa6q4v/TjUzjhtweWitv/rBQDn5lTsxS420lLgZsxtgvATwP4YmeXs70IFt2stjn5lK+2/8lN43hxegULxeip2xXTAfNbsorpNUF/W3BwIh8K5oCXy30pQnHXPG4qwukEotHUsQvLOLdYxr7hzLqeLwL9xTq7ZHa5isG0gcGMEdqcPDtfwp7BNEb6ErBdjoW6Ce7C3kgGNrGTevT4MtN28X9/6zl85ZGz3hqWogN3UldkhhPRHlpV3J8D8HEATaMLY+yDjLHDjLHDs7OzbVnc5U6rBThHJheRTWi49+W7AaCp6hYVb4wx9PkBdyQicEeRSdQUd30eN0CKu1MIxf073zsOBsj3uFVEzne9z31pxSu8yiX1yMAtUkTrsz1q8yZrVluz8WUiMNcqMb2N8xUZuL3nXL8zhzNzJTgupQS2izUDN2Ps7QBmOOePr/Y4zvl9nPNDnPNDIyMjbVvg5UyrBThHphZx40QeN+/ph6EpTX3uYKmyCLgtB25Dkz528KRNaCoMVZG+JdFe8r7HfXa+hHtunsB4f2pdzxeKe6Yus0RUzOZSuswuMm0XF5bK2O0r7qjnlU3vcxhMG01o0ePLxCakSDu96L9W0a+0FfcfnMjDdNymvVGI9dOK4n4lgHcwxk4D+HMAr2eMfaWjq9omtJJVUrEcHLtQwE27+5HQVNy8u7+54jZdeYkrLI5g8c1qBFV28N+AGKZAVkknEIobAD70mivW/fzRgOL+2hNT+MzfeOXll1aqGM4mvCZWvuI+v1iGyyGtEqAxJVBYJamQVaJE5nELRX1usYyK5eCir7hd7m1mCkV+cNzLYKINyvaxZuDmnH+Sc76Lc74PwL0Avs85/4WOr2wbEM7jjr6MPHahAMvhuHm39+G/fd8gjp4vhDZ+BJVAA/zVPO4oglkoDYGbxpd1jGxSg6YwvPG6MRwY61v38xOaioG0jsfOLOBff/0Z/OFDpzCzXKlT3BY45zIV0LNK/MDdxCoJblA3GxgsFDXnwImZFcwuV2Xf95VqrXLzhokcAODULKUEtgvK4+4S331uuqEHcnBzsplV8tCJSwCAm/zy9Nv2DsBxOY6eW2p4bNAqWa/HnU7UTtRUXU+S0b4ElFUmshAbR1UY/uC9h/Ab7zy44dcYyyXx4IuzcP2P0LeOXEDVdjGS9Txuy/EmIwUDdyahIW2ojVZJs8C9iscNAI+cnIPLgatGsvK+kn//vqEMsgmNNijbyLoCN+f8h5zzt3dqMZcz//XbL+D3f/RS6DYzcDJEWSU/eGEGn/vucdx9YBg78573+TK/cEYU5AQJdvY7OJHHe+/ai7sPDLe0vkxQcethxX3/h1+Bz77r5pZeh1g/r7t2dF1l7vWI53767ddhLJfAXx6eBAAM9xnSQ18qW5icL8HQFKm2R/sSDYq7VFc5Cfibk6tYJQDw8EueKLlq1AvcK1UbxaoNxrzXOjCWxUMvzdEGZZsgxd0lRDl5EKG4M4baELiPnlvCL3/lCVyzow+/+55b5e1D2QR2D6ZwZCoicIe6uqn4zD0H0Z82WlpfJqCyU3VWCRFvXnfNCN524w78wh178bprRvH8RS+veiSbrM21rFg4O1/C7oGUvHoa6Us09PIuWw4MTQnNvEw225z0FbWqMDzqb5hfGVDcRdNBWlehKAz//FVX4MTMCu5/fLLN//vtCQXuLlEybZTrVIsowEkntAar5IEnpsDB8cfvux19yfCQ1pt29ePIZKNVUrEcpPSNvaVCcSus1p+C2Bq875X78bvvuQ2KwvDaa0bl7SIdEPAqM8/Ol7B3qJYnPtqXbPS46/qxA809brGReWA0K1MAheIump7iFp+rt924A7fs6cf/+z9fDJXCExuDztAuUTQdVMx6xe0F64yhNjSZWqnYGEgbkR71zbv7cW6x3NAVLuhxrxfRWCpjaOvqlUHEi1cdGIaueu/fcNaQJfVLZQtn57wcbsFIXyIiq8Rp2JxONLFKRIqosO8MTcHEQEreVzQdGbgZY/j0T1+HmeUq/uDBU+34r25rKHB3ActxYdpug1Vi2i50lSGhNVolRdMO+c5BxEbl03WqOzgrcL2I30U2ydYmm9Bw+/5BqArDQNqQnQbPzpewXLWxuy5wL1fskJqO+vJP6iqqEZuTJdOGwrwCGwDYmU/KFgnFqlDctde6be8g7j4wjG8eOde+//A2hQJ3Fyj5yqTR43ahqwp0jTXMnFyuNA/cN4znoCqswecuW06oVHk9iBOsXm0RW49ffu1V+Mhrr4SiMKm4n/GzkOoVN4DQIIay2fgZ8jzuKMVtI2NouML3tcdyydA0pWLVbpiadGjvIE5eKlIl7iahwN0FRL5ro1XCoateS9V6j7tYtZFNRAfRtKHh6rG+hsyS+nmR60GcYPWpgMTW45VXDeNX33wNgFqBz7PnCgDCgVso5eDnyBtRV6+4lWiPu+pZIVeMeL75znxt8LQYypGpe60bd+XAOfDc+cKm/o/bHQrcXUBsxjRYJUJxq0qDx12sOqFMj3pu3p3HkclF2c7TclzYLt9w4BYFOKS4Ly8MTUFKV3HCL37ZPVgrqb9uZw65pCZT+QDfKmkI3Cpsl8Ou34cxbaQTKsbzKQxnE7h6rA+qwpDS1YBVEv4MH/SnLj0dkRVFtA4F7i4gNnFsl9f14HaR0BQYmtLgca9U7VA1Yz237hlAoWLjkZNeGlZU4cR6EAGbAvflRy6lwXE5hrOJkHWhKgx3XDGEhwOFYZFWiRgYXHdVWPI/o4rC8N1ffTU+cLdXsp9JaP7mpN0gPkb7ktiZT0YWkBGtQ4G7C5QCfl7wktNT3CzaKlllcxLwWrzuyCXxm99+HpxzacNs1OMWXxIbVexEfBF2yZ7BxgZWd10xhLPzJUwteFWV0VaJ93PJtPG7PzwhuwAWq7XH9qdrfd+zCdUvwHEiP8MHJ/J4mgL3pqDA3QWCk0CCdokVsEoaskoiLjODJHUVH3vTATx5dhHffnY6NP1mI6T937Xa7yS2JmKDMuhvC+66cghArfIxap8kqXk/P3pyHr/59y/gfzx9AQAiFTXgK+6K5YuPxs/jyybyODlbxDL1eN8wFLi7QLCnQ8UMtnLlflaJEsoqqdoOLIeH5kZG8TO37sJVo1n85refly1ZN2yV+CcrpQNefuRXCdzXjPVhMGNIuyTKKkn4Vsl3npsGADl8oZm4yCQ0zPnzSyMVt5/3/SxtUG4YCtxdoBioFGtQ3FpjVonoAVG/I1+Ppir45FuvxcnZIj719WcAbFxxKwrDznwSOzfRM4OIJyKXe3dE4FYUhjuvGMQjL82Bc76qVfKDF2YAAPP+BCavwKbx85ZNaHKwQ9Rn+EZ/g/KZqZpdYtouVVSuAwrcXaBUbW6VJFQFhsZCWSVCobdiW7zhujH8yhsP4Ih/EmzU4waAv/kXr8IHXr3+ntBEvFnNKgE8n/v8UgXHZ1YiM5PEZ0pc1cnAXW1ulVzyhxVHfYaHswmM55MytxwAfvPvn8fPfeGR9f7X1o3rcvz6/U9v+XRECtxdIKS4A363abvQNdbgcYvihNWySoJ89A0H8K5DuwBA9kPeCMPZxKYCPxFP5ObkUHTgfv11YwCAv/K7CjakAwZ616QNFQtFC67LvfL4iM9oNqHKLoD1BTiC68fzeP5iLXg+e77QlQk5i2ULf3F4UrZL3qrQTlQXKDbJKrEcF9mkFmGVtK64Aa8PxG+880b83Mt349od62/GT1zevPrqEZydL2GsyTSkif4U7tg/iPsfnwIQEbj1WqroK64cxum5Ikr+5ziqSCyowqOsFMBT/w+duATOORhjOLdYRnWV8X3tQpxn9XUTWw1S3F0gmFUSTgcMbk42Ku71ZHhoqoLb9g5Sgyiigdv3D+J33n3LqsMw3nnLBBZKXpZHM6vkriuGMJZLYKFoyhTXKEUd/Nw2+wzvHkyhbDmYK5pwXI7z/vizTiPOs9VmvG4FKHB3gVLVa8YDNHrchkwH5LIKcr1WCUFslrfeuFPmYddvToqslNdcM4LBjIGFkikHEEd9RoO3Nav+3T3g2TaT8yXMLFe8ysyI6sx28PTUorRuhKpvNuN1q0CBuwsUTQeDGW+gQTBwm7YLQ1Nk/2tx+VazSshvJrpDPqXjTb7XXb/PsSOfxP0fugs/f/seDGYMuByyCCeq0jasuKM/wyLDZXKhjKmFmrfdbrvk3GIZ7/jvD+G7x7xURhGwKXATa1Ks2hjKeJ3YgpuTll85Kfoni1xuUSJPipvoJu96+W4AXpe/eg7tG4SmKlKATM57wTbqMxoM1s0U9y6/b/fkfAnnNhC4OectpQ8u+jnnS74NZErFvbVHqFHg7gJF08FQ1vvA129OispJwOtdAqx/c5Ig2sFrrh7BP37i9bjO7xoYxYA/Ck+UyEdnlaztcWcSGgYzBqYWSjgXyCZp1ed+8Pgl3PKZ72CuboJPPdW6zUihtLuxEdpJKHB3gVLVRj6lQ1VYg1USDNxBq8TQarcTRLcY72/sZxJEKu4FobibWyW6yqRvHsXugRQm58vySwBoPaC+eHEZVdvFhaXKqo+rWuHNSPMy8bhJ0nUBURqc0lWUAyXvlsNld0Cg9qFaqzMgQfSKAWmV+Io7wgrJttj3ZtdgGkfPLSGYCNWq4r7kK+2l8ur9TsTkHiGK6pX3VoUkXRco+g3lk7oaVty+VWIIqySguClwE3FksM4qadarBGjubwt2D6RxfrGMs/MlucnZquKebTlwX56KmwJ3Fyj5LVpThoKqH7gdl8NxedjjDmxOkr9NxJGUoSKlq7WS9sisktZ6u+8eTMFyOM7MleQUndYVt/f7C+sM3OIcozxuYlVM24Xl8JpV4n8wxTe+rrEGq2S1sWUE0WuEz53QFGgR+zCtWiUilxsArvLnVraquC8tt6i4rXqrRPxMWSXEKhRlhZkaGbi9AhzP5JObk2sMUSCIXjKCiQSxAAAgAElEQVSQ8Qpymn1GU7oKha1dhxDsVnilH7jX63EX1ujp3aC4bX/UHyluYjVEg6lMQkNCV2Uet/ggGVqjx72yxhAFguglIiWwWWBmjCFjaGt63OP9SbkxeeVo64rbdTnm/A6FLXvcIg2QNieJViiZore2Z5VUpOL2vvl1tTGrpFi1kaVp60RMGfKtktUCcz6ty3ayzUhoKnb4xT7r8bgXy5YsYV8qr16EI16vprgvjyZTFB06jOg7kk54VsmFeo87tDnpK+4KKW4ivoiUwNU+o799780Yya49lGP3QBply5GVxa0o7kuBopv1bk6a1GSKWI33/dFP8IUfvSSHKGQMDSmj5nGbMnCzUOB2XY6i6dDmJBFbRErgalkjt+0dbNr/O8ibbxjDT9+4U45Hq9Yp7r86PIl3feFhuG5tM1FsTCY0RVolnHM8eXah4fVlHned4t7qVsllJev+4fgsXpxewftftb+n63Bcjn84fgkl08G+Ye8SMJPw87jN8AfHCFglVduVfY5JcRNxRSjudtQa/PO7vYlLIrAGFffUQgn/7pvPomQ6WCiZGMp6qlzkcO8fzsjNyYdfmsPPf/FR/NkH7pQDkIFA5WRDAQ5llcSGBx6fwu//6KVeLwOzy1XYLseL08u1viO+x121Vtuc5NSnhIg9wuNuNt1mI+gqA2M1T5pzjk//9VG5RxQsbRc53FeOZKVVctav5KyfbENWyRagZDqomK2lE22Wo+eWmnYnO7fofYgWShZOz4lmPCpShtKYx60q0DUmb6Ne3ETcqSnu9tl5jDEkNVUG2r87ehE/fGEW99w8DgBy+DDgedy6yrBrMIVC2QbnHDO+ffLoqbnQ69ZbJVQ5GUPKloOS5ciBBJ2iWLVxz+cfws/83sORc/LOLdY+ZMJ3y/oFOLbLYTkuTDuQVaLWskpIcRNxRxTgRHUG3AwJXZGK+7HT80gbKj7+lmsBABeDgXu5iqFMAvmUDtNxUbFczCx79x+ZXAq1Tm7WHXCrZ5VcVoG7ZDpwXN5x/2q5YsNxOY5dKOB/+/xDODGzEro/2F/4yOQiGAOSmiob1Jctp+Zxawy6VtucXKEhCkTMEXnc7b4qTGqq9KRLVQd9SQ1jfQkoDLi4FFbcw32GnMyzVLYwXfAUt+m4oU3KjXQHPDm7ggU/TzyuXFaBW6jVcodn14nX//Brr8RyxcaXHz4duv/cYgn5lI7BjIFCxUZaV6EoTAbuihkI3KpaU9yOi6KfhdKX2Pi0doLoJEMZA+975T68/trRtr5uQldQ8a2NFb96WFMVjPQl6gK3ieFsQgbuQsXCzHIVN+3uh8KAR07Ny8fWdwdspVfJL37pJ/it777Y1v9bu7msArcIqOUO+9zC275pVz8O7RvAY6fDaUjnFyuY6E/h6jGvGkxcUqYCilt8cHStlg4YtkpIcRPxRFEY/t0/uWHVgQsbIai4gx0yd+RTYatkpYrhbAK5ZE1xzxYquHIkg+vHc3j0ZM3nbqa4XQ5ZxBOkajs4t1jGTGH1AQ295rIK3GIHutOKW/hwKUPFob2DeP5iIVR6e26hjImBFK4Z6wNQu6RMGYHAHdicVBUGVWG0OUlsa4KKu1i1ZWXmjlxNcXPOMVenuJdKFmZXqhjLJXHn/iE8Obkoz9GGzcmARRJll4iAvVYPlF5zWQVuobQ7r7i9108bKl6+bwCcA08EfLXzi2VPce/ok48DAorbdOQlm7BJdJVROiCxrQkqbq+1sXe+7Awo7kLZhum4GM4asqT+9FwRlsMx2pfA7fsHYdounj2/BKBxczJokURtUIq0wy0fuBljuxljP2CMHWOMPcsY+2g3FrZeOOeyoVPZWnuI6GYQXwwpXcXNe/qhKQyHT3u+2lLZwnLVxkR/TXEL5SA9bssNpQMCXgA3bU9xM7Z2L2OCuNwIKu5SoEPmWC6J5YqNYtWWxTdBxS2SA0b7ktiZ90avzRe9wNvYjzsQuCN8bjG9vrBGD5Re04ritgH8Guf8OgB3AvgIY+z6zi5rdf7/R8/iTx85E7qtarsQWYDB8WCdQFgxSV1F2tBww0Qej53yFLfIKJkYSOGACNy+chBWSSXgcYuqSUNTYPpWScbQwILznAhiG5DQVFQCHndGetxexeTFQkX2KfE8bu/+4yJw5xJI++ea2Idq6Mdtr26VXLxcFDfn/ALn/An/38sAjgGY6PTCVuPrT07hgcenQreVAvZIs8KYdlEOWCUAcPu+ATw1tYiq7ci87vH+FPIpHRP9KfT76VOpiHRA0YtbVxVYtosLixWM9CU6un6CiCMJXZGedHDu6o6cp6KnlwKBu8+ApirIGKpU3GN9SXl1K7Kzgoqbcx72uO3GzUlplZStjteDbIZ1edyMsX0AbgHwaMR9H2SMHWaMHZ6dnW3P6ppg2m6Djy28YWDzm5NHJhfxU7/1IM7MFSPvF68vAvGhfZ6vdvTcEs75gXvCn5b9B+89hF9789UAgKTfSKdshjcnxd+W4+LZC0u4fry9u/UEsRUQHrftF9UIYbQj73UZvLBUwfHpFTAG7PSDeT6ly8SASMUdUti8BY/bO39d7s2KjSstB27GWBbAAwB+hXNeqL+fc34f5/wQ5/zQyMhIO9fYgOnwhuAc/LnVKRpRLJUs/PJXn8AL08t4/uJy5GPKgawSADi0dwAA8IPnZ3F+sQxDUzCc9VT29eM57PJHNIUUd6ByEvCsktmVKibnyzg4nt/w+gliqyIUt2i0VlPcXuC+WKjgu8emceueAeTTnr8tNij7kppnXfrnWE1xO6EJU6bjQlP8nyM87mC++FotY3tJS4GbMabDC9pf5Zx/rbNLWhvTdkLWCFBvlWwscHPO8S/vPyJVc7M3rmw6YMxrKwkAQ9kE3nLDDtz34Ek89NIlTPSnIj3qZMDjthxXpgECXgB/etLbCT84QYqb2H4kfY+7PrMqZajIp3Q8eXYBz54v4E3Xj8nniMA96tuLmqogqSsombasou7z8729+a+ufN0oj/vCUgV9vnceZ5+7lawSBuBLAI5xzj/b+SWtjem4KNf52EFfe6NWyWOnF/Cd56bxkdddCcArbY+ibDpI6WooOP/Hdx5ENqnh6LmCtEnqCaYDmo4rUwEBwFAZlv0P7A2kuIltiFDcUSmxO3JJfP/5GQAIBW6RWTKWqw1tyBgaiqYt/XIRiE3bhWm7UsnXB27LcTG7UpXZYHHOLGlFcb8SwC8CeD1j7Cn/z9s6vK5VMW0X5bpmUmJgAYANdwgU/tY9N3t7r82+cUuW05CuN5xN4DfeeRCAN0svCl1VoClMVk6KSzigll0y0Z+STXwIYjuR1FRYDpfjyDKBc2xHPgmXA1cMZ+RgYQCyenI0sKGfTqgoVh2ZE54LKW4uz916j3tmuQrOIesvlmOsuNes8uCc/xhArHLTTNuFy72NB5EbXbI2b5WIxjJDGQMZQ22quCumI39vkLcc3In//E9vxE27+5v+Dm/upHfJJoI1UPO6b6CNSWKbIqbgiPOwXnEDYbUN1BT3aL3irtpyY1IqbscTTOJ16z3ui75wk4q7xcD9Rw+dwjNTS/jsz93c0uPbwZasnBRVh8FNyPIqVolpu6FNh2YslLw3Kp/yBp029bgtR9oe9dx7+55Vezgk/fFlluPKYA3UAvfBCbJJiO1J0hcy837gDrZ9GMtHB+5cyntMSHEbKkqmE2GVeOmANasknO533m/HfPU6rZK/eGwSX3vyHE5dis5C6wRbMnCLb8qoDcm+hNYQuL/66Bm86bM/km9kMxZLJnJJryNZX1JrbpWYjVZJq4hJ75bDQ4FbqG9S3MR2RVzFXip6udpBxf32l+3EB+7ej1v2DISeE6m4E8Lj9uJE1u+0aTqur7i931PvcQtxJ5rDtZJVslgyZfbZN58638p/sy1sucAdTKKPCtyDWaMhx/vcQhnLVVu+MTOFCr7wo5caEuwXSpac7pFL6s03J61oq6QVkrribU7aYavEIMVNbHOEVTK/IqyS2jl29VgfPvXT18ssLEE+FeFxGypKAY9bKO5SYIwg0Bi4LyxVkDZUDGYMpA21JavkJ34L2cGMgW88da5rRTuxDtwf+tPHcd+D4RmSwQ2FSsjXtqEqDLmk3qC4xRsg0vy+/uQ5/D9/9zxemg1f2iyUTFnluJrirliOzOFeLyldxalLRVxYKocUdzahYSyXCH0ACWI7kdS8c0pYJZkWZlresmcAt+0dwHU7aleq9VklojR+pS5bpVrvcRfK2JlPgjEvjrRilfzk1DwMTcGvvPEATl4q4ui5hhKXjhDrwH34zDyeqTsQwQ2FesWdNlSkDLVBcYs3QPQREYNFz86HA/diycJAILG/2Ru3GavkNVeP4PjMMp44uxhS3B9709X4k392O/UoIbYtQnHPFc2WG63tH87ggQ+/QhbkAF5WiedxC8Xt3VcfuKMUt2hSlUs1F25BfnJ6Hrfs7sc9N01AVxn++qlzaz6nHcQ6cBerTkMVZHBDIZS77QfTtL/5F2S56r0BYvNh0g/gZ/xBvoKFkinHMnlWSfMCnI1aJb/65mvwyCffgH/z9uvxsTcekLfvyCdx7Q7yt4nti1Dcc8XqphqtZRJeVomIHcIqKcpe977HXae4LyxWZHl9LqmvGbiXKxaOnlvCHfsHkU/reO01o/ibI+cjBzS0m9g2fXZcr6y9PnAHFXfwvqLpIG14A3mbKm5/+vqkr7jrA/diyUJ/ulZCW6h4E6TrP0DliDzu9TCaS+L9r9q/4ecTxOVI0OPezASojKGharuy14hQ3KLALW00ZpUUKhYuFirYN+S1p8ildMwurz4F5/EzC3A5cMcVQwCAD73mSiyWujOrMraBW6jmeh+qmVVSNm2kdN8qaeJxn1+swHE5phZE4K5ZJaIXtlTcKV1+eaTrvDZROUkQRPtIaCKrxMSuJtXHrSBElQiiImWwWDddKrhf9tx5z5K9wU8OyCU1vDQbHgJez09OzUNTGG7Z49Vt3LZ3YNXHt5PYWiViB7har7id6EKbkulNzIhW3LXNyYuFCiyHg7Gw4l4se2+y9Lj9b+l6n5tzvmoeN0EQG0N0zwwWyWwE8dw5PztFKG7ReEp0EAyKwKPn/D5BfruJ1eo4BC9OL+Oq0WyDsOsGsQ3c4jKnXnFXm1glJdNBSlglgds55yhUhFVSxlk/WB8cz2NyoST9qEW/+CaYVQI0Vk+JRu+pHrxZBHE5IxQ3sLlh2UJxL5TChTxiczKhqf6owLDiHsslZC98z+O2V03vK5Rtaa12m/gGbv8gr745GU4HTOu1zUlxwMuWA8flGM8nYdounpz0JtXcfWAYlsPl4AORghS0SoDGfgW1XtyxPXQEsSVJ6OH02I0i0gjFOS3TAX0Bp6tM9r8XHD2/FGrulktpcFweijFfe2IK3whkjRQqllTz3Sa20afURHGvlQ6YNFRwXnuesDpEGfojJ+ehMOCuK70NBZEaKPyw4OZk8PkCEbh7cXlEEJczwUytzZxfwgoRiltaJX4WmqEp0P0Zr4C3Z3ViZgUHA1XL0ioNCLc/efgM/vTh2sjE5Yot40S3iW3gbqa4m2WVlE0Had/jFj8DtQN/7U6v/8Dh0/MY70/JDmOn/Q1K0ackWDkZfH7t93jrStIwX4JoK4lAXcOmPG6puC2oCpPeuaiENlTFn/HqXZU/f7EAlwPXhxR34x5X1XLktB3v9SwZJ7pNfAN3xOghoH5z0g49Pm1o0t8S3QLFBoPIkS6ZDnYPpLEjl4ShKXKDUnw71wpwhMdtw7Rd/NtvHMWFpbIcREybkwTRXgxVgci8zW4mHVAo7qKJhKaAMQZDU6QYNDQFRsAqOepnlAQHmEQJt7LlyJ9dl2O5Soq7AdFfu1LXdzuouMv+RqHrclQsFyldlZdb9Yp710BK+mZ7BtNQFIY9g2mZErhYspDQFBmQa1klFp45t4QvP3wGP3h+Vn5ZbCaPmyCIRhhjUnW3I6tk3g/cAJBQa4FbV5XQ5uRz55fkYG+BFG4BhV02a4q7aNrgHBS46xGK2+XhDUlxeZPQFGlb1HxnVXpjwkYRl0f5lC4HHOzxk+z3DaVrirvoVU2KYpuE/628XLFx2m/XOLtclb9ro5WTBEE0R5xXm9mcFDHAdFyZqWJoiswqqfe4j54r4OBELlRo10xxVywXVduRcYWskjqCG4/BdqziYOdTunyM+Dud0KRiFreJb8xc4Bt114D3996hDM7MlcA5x0KgahLwvv1FvwKhymdXKvILgawSgmg/QiFvanMycDUsMlVCgdv3uC3HBeccL0wvh5pUAc087lrCgwjcvcoqiW1qhLisAbzc6T6/3a4I3P3pWhdAaV/oKlKG90aJ+wryAGsY9wP3nkFPce8dSqNsOZguVLEY6FMi6Et6SfjiTZpdrta+JMgqIYi2IxT3ZvK4dbH5aLuy/4muKhAtRKTidrgcIzhc15WzllXmCT/bnxAPeCpcpAmTVVJHc8Xt/bs/Veu7HQymKd07kOWA4k5oChKain1DGTDmKW0AuNkfMfbIyTmvwVQm/O2ZS2pNrZKNtnUlCKI5QnFvxioBavMqg4pboKv+5qTtSs+63vLQVSXUk7sS2FtbCoi5XgXuLaO4BeJbL5fScbHgdfsTgTvlt3UFgLLlPb9QseRlz7vv2IMbd+XlMN6D43kMZw388IUZv8FUhOKuWDJlcHalKr8QKHATRPupKe7Nhaa0oWHBTzgAaoNKAF9xawwVy5VWiBjIECTYkzvYRqNQtmRApwKcOpopbrFRmU/VrBJxUDMBj1uk7RUqtqycyiY03Ol38gIARWF49YERPHj8EhbLtV7cglxKw5m5EpYrNpK64ilukzxugugUMqtkkwVuwmoJbk4KdJXJdECpuFONvy+b1GRL6GDNyFLZkhZsjqySMEUzWnGLvO5cSpNBVDxWdAcEAh53uaa4o3jNNSOYL5pwXN7gceeSuiybvWX3ACqWi9mVKjSFhabXEATRHtrhcQO1zU2puOvGBIqskkITqwTw7BYhIIOBu1CxAx43Ke4QpaoDMV6uPqvEUBVkDA0l02sCUw553EJxC6vEXvXgvvrAiPw9jVZJ7dv05fsHAXgdBckmIYjO0DaPOxH2uMXr6ioDYwy6n1UiLI8oqyRtaLKeJNi4TiQs6GqtKrPbxDZwF01betHVoMftD9lNGSpc7nnetc1JDYamQFOYPNDLZWvVy5mBjIGb/E3KBqvED/hqoOfu5HyJbBKC6BCJNnrcQMAqUZWGv82QVRKhuBOqvJqv97iX/QZTvRo1GNvAXTIdaV0EL1NMx/ECd6BCUqYD+t+yKb12iRPcnGzGa68eBdBccU/0p2QO+OQCKW6C6BReifrm95CEYq+3SvTAZqVlc7n5GJUdkjY0GUdCirtioVDuXbk7EPOskv3DXtpesF+JZXMYfqoO4AV4qbj9NztpqDLYe5uTqwfud718FyYXSrh+Z3QS/r7hDEayXp6n5XBS3ATRIZK6irSuQlE2p2RFfKhZJHV/a0xaJRlDjdyzShtqZLO7pbKFsulQ4I6iZDrSKgkrbhe6xkKbkCXTgaEq0FRRdeVNwan4yfVRO8ZBduZT+G//+00Nt4uAv38ojXxK9/sbcFLcBNEh3n7jTuzMJTf9OsJqEdaLUZcWqAeskmZX5GmjlgAhEiSGMgYKZW8QcV+iNxuTQEwDN+c87HHbdR63GrZKyqYdCqbCKtlsrqX4Rt07lIGiMAxnE7iwVKGqSYLoEK+4ahivuGp4068jztFknVUS/FtklTS7IhcetxhXCHiDvpfKFkzbxV6/51EviKXH7U2w8b7dgLDirtouDK3WTKpsOSiajqyUArzLrbLlSP9qo7mW+4czGM4auN3PKBFjjcgqIYh4I/LApeKO2JwUedxRGSWAp7hdfyiLUN5juYQsee9VKiAQU8UthnoORCluR2SVeG9AyXRQKFuhXei073ELxb3W5mQzRnNJHP70m+TPwuemzoAEEW/SibDHLb1uzfPORe+SxZKF3YPRE+VFSmGxakvFvSOXxFOTi3AcvqYF20liqbhFlkguqUNTWEhxW7YLQ2WBniQ2Tl4qYp+/kQnUrJJ2t14UipusEoKIN5kmBThG3SblXLHaVNgFO41WLK+uZDib8NIBq6vXh3SaWAZuobgzCRUJTYlU3CJ4FvwmUAdGs/IxSUNYJSK5vj3fjGSVEMTWoJZVErZKRMAWgXy+aK7icXtxo2h6m5EpXUU+pcsug70qdwdiGrhrU2Y0JHU1nFUiNif9N+bYhQJsl+PAWC1wp3UVlTZsTtYjAzcNCiaIWFPLKmmyOal6lonLm1upwZTjsuUgqashe6SX6YCxDNxFM6y4K00qJwHg6aklAMCB0T75mKFsAhcLFfzhj08BaKNVkiXFTRBbgUxdAY6uRlslQHS5e/A1SlUHZdNF0lfcAtqcrKNUDSvuUK8Sx8sqEcHz2fNLYAxyajsAfPg1V6Jk2vjzn0wim9Da1k+gprhj+X1HEITPwfEcPvbGq/GqAyMAGhV3MHA3szyE4pZWiaGGRCAV4NQhFbffe6RecesqkwM/K5aLXQOpUB53Pq3jM/ccxIdecyUWS1bb+gmM+mN4NjNWiSCIzqOpCj76xgPy5/qAHewWuFoBDuBZt2Xf4w4+tlfzJoGYBu5g75EoxS0uf1K6CsuxQxuTQcb7U3JcWTvYPZjCZ+65AW89uKNtr0kQROdp6FnSilUiFHfVCW1OCkhx1yGzSgzP5mjoDihL2zUUKjYOjPVFvk67YYzhvXft68rvIgiifTRmlTROdK8nnQgr7mxCCyluSgeso2TaYAxI6t6syIZ+3EJx+9+IVzVR3ARBEEBNaddvVgKetRpFMI+7bHqKuy+hQTivsc8qYYy9hTH2AmPsBGPsE51eVLHqIGNoYMxrVF4/c9IIWCUAmlolBEEQQNAi8aKu0cLmpKowWcwnNicVhaEvocFQlZ5WUK8ZuBljKoDPA3grgOsBvJsxdn0nF1Uy7VACvVDcjsvhuFx+W4rHXEmBmyCIVTDqNiVFX26FrT7fUrR2FZuTgLeZ2Uu1DbSmuG8HcIJzfpJzbgL4cwD3dHJRK1Vb5lAGFbflT3gPWiU7csme7u4SBBF/9Cb53LmUvmrv73RCKG5XKux8DAJ3K799AsBk4OcpAHfUP4gx9kEAHwSAPXv2bGpRJdMJKe6Kr7hF6bs46D972y4s+MN8CYIgmlGvuMXfa4m+jKFJxS0C90DakL3/e0UrgTvq64g33MD5fQDuA4BDhw413L8eilVbXr4Es0pMP3CLDYZ7bp7YzK8hCGKbkGjSZGqtDn9pQ8VK1YZpu9Iq+cRbr5VX/72ilcA9BWB34OddAM53ZjkeJdPBUNZr6ZrUPcXNOYfpH6yoMUMEQRDNaKyc9PRosxxuQSahYXa5CqBWMX1wIt+pZbZMKxHwMQAHGGP7GWMGgHsBfLOTiyqadqgtI+ferEfLDnvcBEEQrZBP6TBUBcN+vyHpca9hlaR0FXO+HRunHkVrKm7Ouc0Y+z8BfBuACuAPOefPdnJRpWrN4xa+UsV2pOKmwE0QxHroTxv44b96Lcb8eZYihrSiuOf9wJ3YSoEbADjnfwvgbzu8FvG7sFAy5QEV3lTVcqXHbZBVQhDEOgm2v9ADWSWrkTZUOH4D7jgp7thFwELZRtV2sSPvfTOKb7mK5dSySkhxEwSxCRKagmxCw3h+9YnywZGIcQrcsetVcrFQAeDNewQCitt2SHETBNEWNFXBtz/2agz7SRDNCI4pTMVoZGFsA/cOP3BLj9tyGwpwCIIgNspEC51Dg4E7TkPCYxcBp+sCd6TipsBNEEQXCPbeb9dAlnYQn5X4TC8Jq8RL2xHfclXLpawSgiC6SiYRsEpIcTdnermC/rQuA3YoHZA8boIgukhQccfJ445dBLy4VJU2CRCdDkiVkwRBdINg50BS3KswXajIjBIgugAnQVYJQRBdIJ2gzcmWmC5UsMP3t4EmBTgUuAmC6AIiq4SxeAnG+KwEgO24uLQStkqSgQIc2pwkCKKbyC6lmgrGmvft7jaxioCzK1W4HCGrRHzLVWzyuAmC6C5CccdpYxKIWQHOdMFrn9hsc9JyXDAGaKtMrCAIgmgXouQ9ThuTQMwC90U/h3tHoH+ApirQFIaK7cB1OQxVidUlC0EQly8JTYHC4lV8A8QscM8sh4tvBEldRdVy4XJO/jZBEF2DMYa0ocUqowSIWeC+uFSBpjAMZ+oDtyLnTsZpZ5cgiMuftKGSVbIaFwsVjPYlGqYuJzRPcTNGG5MEQXSXTEKL3eZkrKLgTKEayigRJHQFRX9gJ1klBEF0k10DKYzn1+4k2E1ip7ivGsk23H7Trn5897lp3Lp3gPqUEATRVb7wi7dBiVlCRKyi4PRSJZRRIvj5O/ZguWrjoROXSHETBNFV4rg5GZso6Locv/y6q/CG60Yb7ju0dwBXj2Vhu5RVQhAEEZsoqCgMH37tlbj7wEjDfYwxvOeOvQBoc5IgCGLLRMF33jqBlK5SOiBBENueWG1OrkYuqeM/vfMgckm910shCILoKVsmcAPAP711V6+XQBAE0XPIdyAIgthiUOAmCILYYlDgJgiC2GJQ4CYIgthiUOAmCILYYlDgJgiC2GJQ4CYIgthiUOAmCILYYjDOeftflLFZAGc2+PRhAJfauJxOQGvcPHFfH0BrbBe0xtbYyzlvbNYUQUcC92ZgjB3mnB/q9TpWg9a4eeK+PoDW2C5oje2HrBKCIIgtBgVugiCILUYcA/d9vV5AC9AaN0/c1wfQGtsFrbHNxM7jJgiCIFYnjoqbIAiCWIXYBG7G2FsYYy8wxk4wxj7R6/UAAGNsN2PsB4yxY4yxZxljH/VvH2SMfYcxdtz/eyAGa1UZY08yxr7l/7yfMfaov8a/YIwZPV5fP2PsfsbY8/7xvCtux5Ex9qOL9NUAAARsSURBVDH/fT7KGPszxliy18eRMfaHjLEZxtjRwG2Rx415/I5/Dj3NGLu1h2v8r/57/TRj7OuMsf7AfZ/01/gCY+ynerG+wH3/kjHGGWPD/s89OYbrJRaBmzGmAvg8gLcCuB7Auxlj1/d2VQAAG8Cvcc6vA3AngI/46/oEgO9xzg8A+J7/c6/5KIBjgZ//C4Df8te4AOD9PVlVjd8G8Pec82sB3ARvrbE5joyxCQD/F4BDnPODAFQA96L3x/GPAbyl7rZmx+2tAA74fz4I4Pd6uMbvADjIOX8ZgBcBfBIA/PPnXgA3+M/5Xf/87/b6wBjbDeBNAM4Gbu7VMVwfnPOe/wFwF4BvB37+JIBP9npdEev8Brw3+gUAO/3bdgJ4ocfr2gXvBH49gG8BYPCKCbSo49uD9eUAnIK/pxK4PTbHEcAEgEkAg/AmQ30LwE/F4TgC2Afg6FrHDcAXALw76nHdXmPdfe8E8FX/36FzG8C3AdzVi/UBuB+eiDgNYLjXx3A9f2KhuFE7aQRT/m2xgTG2D8AtAB4FMMY5vwAA/t+jvVsZAOBzAD4OwPV/HgKwyDm3/Z97fTyvADAL4I98O+eLjLEMYnQcOefnAPw3eOrrAoAlAI8jXsdR0Oy4xfU8+mcA/s7/dyzWyBh7B4BznPMjdXfFYn1rEZfAzSJui026C2MsC+ABAL/COS/0ej1BGGNvBzDDOX88eHPEQ3t5PDUAtwL4Pc75LQCKiIe9JPF94nsA7AcwDiAD77K5nth8LiOI2/sOxtin4FmOXxU3RTysq2tkjKUBfArAv426O+K22L3ncQncUwB2B37eBeB8j9YSgjGmwwvaX+Wcf82/eZoxttO/fyeAmV6tD8ArAbyDMXYawJ/Ds0s+B6CfMSaGQff6eE4BmOKcP+r/fD+8QB6n4/hGAKc457OccwvA1wC8AvE6joJmxy1W5xFj7JcAvB3Ae7jvOyAea7wS3hf0Ef+82QXgCcbYjpisb03iErgfA3DA38E34G1efLPHawJjjAH4EoBjnPPPBu76JoBf8v/9S/C8757AOf8k53wX53wfvOP2fc75ewD8AMDP+g/r9RovAphkjF3j3/QGAM8hRscRnkVyJ2Ms7b/vYo2xOY4Bmh23bwJ4r58ZcSeAJWGpdBvG2FsA/DqAd3DOS4G7vgngXsZYgjG2H94m4E+6uTbO+TOc81HO+T7/vJkCcKv/OY3NMVyVXpvsgU2At8HbfX4JwKd6vR5/Ta+Cd5n0NICn/D9vg+chfw/Acf/vwV6v1V/vawF8y//3FfBOiBMA/gpAosdruxnAYf9Y/jWAgbgdRwD/AcDzAI4C+FMAiV4fRwB/Bs9zt+AFmPc3O27wLvM/759Dz8DLkOnVGk/A84rFefP7gcd/yl/jCwDe2ov11d1/GrXNyZ4cw/X+ocpJgiCILUZcrBKCIAiiRShwEwRBbDEocBMEQWwxKHATBEFsMShwEwRBbDEocBMEQWwxKHATBEFsMShwEwRBbDH+F/UZVxmUPLabAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "observed_sequence = [None if 50 < i < 90 else obs for i, obs in enumerate(observed_sequence)]\n",
    "plt.plot(observed_sequence)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "kalman = Kalman(\n",
    "    system=np.array([[1., 1.], [0., 1.]]),\n",
    "    cov_system=np.eye(2) * 0.001,\n",
    "    measure=np.array([[1., 0.]]),\n",
    "    cov_measure=np.eye(1) * 10,\n",
    "    mu0=np.zeros(2), P0=np.eye(2) * 100\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean = []\n",
    "std = []\n",
    "for obs in observed_sequence:\n",
    "    m, s = kalman.predict()\n",
    "    if obs is not None:\n",
    "        m, s = kalman.filter(obs)\n",
    "    mean.append(m[0])\n",
    "    std.append(np.sqrt(s[0, 0]))\n",
    "mean = np.asarray(mean)\n",
    "std = np.asarray(std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = kalman.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 13.3.4 Particle Filters"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "observed_sequence = np.concatenate(\n",
    "    (np.arange(50)[:, None] * 0.1 + np.random.normal(size=(50, 1)),\n",
    "     np.random.normal(loc=5., size=(50, 1)),\n",
    "     5 - 0.1 * np.arange(50)[:, None] + np.random.normal(size=(50, 1))), axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "def nll(observed, particle):\n",
    "    diff = observed - particle @ np.array([1., 0.])\n",
    "    return 0.1 * (diff ** 2)\n",
    "\n",
    "particle = Particle(np.random.normal(0, 1, (1000, 2)), system=np.array([[1, 1], [0, 1]]), cov_system=np.eye(2) * 0.001, nll=nll)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "mean, cov = particle.filtering(observed_sequence)\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = particle.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "observed_sequence = [None if 50 < i < 90 else obs for i, obs in enumerate(observed_sequence)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "particle = Particle(np.random.normal(0, 1, (1000, 2)), system=np.array([[1, 1], [0, 1]]), cov_system=np.eye(2) * 0.001, nll=nll)\n",
    "mean = []\n",
    "std = []\n",
    "for obs in observed_sequence:\n",
    "    p, w = particle.predict()\n",
    "    if obs is not None:\n",
    "        p, w = particle.filter(obs)\n",
    "    mean.append(np.average(p, axis=0, weights=w)[0])\n",
    "    std.append(np.cov(p, rowvar=False, aweights=w)[0, 0])\n",
    "mean = np.asarray(mean)\n",
    "std = np.asarray(std)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.ylim(-2, 8)\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mean, cov = particle.smoothing()\n",
    "mean = mean[:, 0]\n",
    "std = np.sqrt(cov[:, 0, 0])\n",
    "plt.plot(observed_sequence, label=\"observation\")\n",
    "plt.plot(mean, label=\"estimate\")\n",
    "plt.fill_between(np.arange(len(mean)), mean - std, mean + std, color=\"orange\", alpha=0.5, label=\"std\")\n",
    "plt.legend(bbox_to_anchor=(1, 1))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
